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4x - 6y - 9 = 4x - 6y - 9 - 7 + 7 = 4x - 6y - 16 + 7 = 2(2x - 3y - 8) + 7 = 2.0 + 7 = 0 + 7 = 7
ta có 2x-3y-8=0
=> 2(2x-3y-8)=0
=> 4x-6y-16=0
lại có 4x-6y-9
=4x-6y-9-7+7
=4x-6y-16+7
Mà 4x-6y-16 =0
=>4x-6y-16+7=7
Vậy 4x-6y-9=7
*****Chúc bạn học giỏi*****
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\(2x^2y^3\)và \(-5x^3y^4\)
-10x5x7
b, \(\frac{1}{2}x^6y^6z\)
c,Tự lm tương tự
k nhá
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a) \(\left|3x-4\right|+\left|3y+5\right|=0\)
\(\Rightarrow\hept{\begin{cases}3x-4=0\\3y+5=0\end{cases}\Rightarrow\hept{\begin{cases}3x=4\\3y=-5\end{cases}\Rightarrow}}\hept{\begin{cases}x=\frac{4}{3}\\y=\frac{-5}{3}\end{cases}}\)
b) \(\left|x-y\right|+\left|y+\frac{9}{25}\right|=0\)
\(\Rightarrow\hept{\begin{cases}x-y=0\\y+\frac{9}{25}=0\end{cases}\Rightarrow\hept{\begin{cases}x=y\\y=\frac{-9}{25}\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{-9}{25}\\y=\frac{-9}{25}\end{cases}}}\)
c) \(\left|3-2x\right|+\left|4y+5\right|=0\)
\(\Rightarrow\hept{\begin{cases}3-2x=0\\4y+5=0\end{cases}\Rightarrow\hept{\begin{cases}2x=3\\4y=-5\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{3}{2}\\y=\frac{-5}{4}\end{cases}}}\)
d) \(\left|5-\frac{3}{4}x\right|+\left|\frac{2}{7}y-3\right|=0\)
\(\Rightarrow\hept{\begin{cases}5-\frac{3}{4}x=0\\\frac{2}{7}y-3=0\end{cases}\Rightarrow\hept{\begin{cases}\frac{3}{4}x=5\\\frac{2}{7}y=3\end{cases}\Rightarrow}}\hept{\begin{cases}x=\frac{20}{3}\\y=\frac{21}{2}\end{cases}}\)
e) \(\left(x-1\right)^2+\left(y+3\right)^2=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-1\right)^2=0\\\left(y+3\right)^2=0\end{cases}\Rightarrow\hept{\begin{cases}x-1=0\\y+3=0\end{cases}\Rightarrow}\hept{\begin{cases}x=1\\y=-3\end{cases}}}\)
Vì \(\hept{\begin{cases}\left|2x-3\right|\ge0,∀x\\\left|4x-3y\right|\ge0,∀x,y\end{cases}}\)=> | 2x - 3 | + | 4x - 3y | ≥ 0 , ∀ x , y
Dấu "=" xảy ra <=> \(\hept{\begin{cases}2x-3=0\\4x-3y=0\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}2x=3\\4x=3y\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=\frac{3}{2}\\\frac{4}{3}x=y\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=\frac{3}{2}\\y=2\end{cases}}\)